document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851772>Question 851772</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve the inequality 2x - 3 < x + 2 &#8804; 3x + 5\r<BR>\n" );
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document.write( "You dont need to graph it I just need help solving it, thanks </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #513004 by </B><A HREF=/tutors/aboutme.mpl?userid=josh_jordan><B>josh_jordan(263)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josh_jordan><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=josh_jordan><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=513004\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hello,\r<BR>\n" );
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document.write( "2x - 3 < x + 2 &#8804; 3x + 5\r<BR>\n" );
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document.write( "1.  Separate these into two different inequalities:\r<BR>\n" );
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document.write( "2x - 3 < x + 2  AND  x + 2 &#8804; 3x + 5\r<BR>\n" );
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document.write( "2.  Solve for x in each inequality:\r<BR>\n" );
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document.write( "2x - 3 < x + 2 -----> x < 5\r<BR>\n" );
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document.write( "x + 2 &#8804; 3x + 5 ----->  -3 &#8804; 2x -----> -3/2 &#8804; x\r<BR>\n" );
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document.write( "We now know that x must be less than 5 and greater than -3/2.  So, \r<BR>\n" );
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document.write( "-3/2 &#8804; x < 5  which is your final answer. </SPAN>\n" );
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